61209326880 has 1152 divisors, whose sum is σ = 256779694080. Its totient is φ = 13111787520.

The previous prime is 61209326837. The next prime is 61209326891. The reversal of 61209326880 is 8862390216.

61209326880 is a `hidden beast` number, since 612 + 0 + 9 + 3 + 26 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320467585 + ... + 320467775.

It is an arithmetic number, because the mean of its divisors is an integer number (222899040).

Almost surely, 2^61209326880 is an apocalyptic number.

61209326880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61209326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128389847040).

61209326880 is an abundant number, since it is smaller than the sum of its proper divisors (195570367200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61209326880 is a wasteful number, since it uses less digits than its factorization.

61209326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61209326880 in words is "sixty-one billion, two hundred nine million, three hundred twenty-six thousand, eight hundred eighty".